A note on the Hansen-Mullen conjecture for self-reciprocal irreducible polynomials

作者：Garefalakis Theodoulos; Kapetanakis Giorgos^*

来源：Finite Fields and Their Applications, 2015, 35: 61-63.

DOI：10.1016/j.ffa.2015.03.005

• Self-reciprocal polynomials
• Hansen-Mullen conjecture

In this note, we complete the work in Garefalakis and Kapetanakis (2012) [3] by using computer calculations to prove that for odd q, there exists a monic self-reciprocal irreducible polynomial of degree 2n over F-q, with any of its first (hence any of its last) left perpendicular n/2 right perpendicular coefficients arbitrarily prescribed, with a couple of genuine exceptions.

• 出版日期2015-9